Whiskers and sequentially Cohen-Macaulay graphs

@article{Francisco2008WhiskersAS,
  title={Whiskers and sequentially Cohen-Macaulay graphs},
  author={Christopher A. Francisco and Huy T{\`a}i H{\`a}},
  journal={J. Comb. Theory, Ser. A},
  year={2008},
  volume={115},
  pages={304-316}
}
Let G be a simple (i.e., no loops and no multiple edges) graph. We investigate the question of how to modify G combinatorially to obtain a sequentially Cohen-Macaulay graph. We focus on modifications given by adding configurations of whiskers to G, where to add a whisker one adds a new vertex and an edge connecting this vertex to an existing vertex in G. We… CONTINUE READING